UNCERTAIN MODELING OF MECHATRONIC SYSTEMS

The paper proposes an approach to modeling of systems with a parametric uncertainty. The approach is based on use of upper linear fractional transformation which is commonly used for the modeling of the uncertain systems. The main difference between the classical methods and the proposed one is that the proposed method describes the uncertainty as a difference between values of corresponding matrices elements of nominal and perturbed state-space model of the described system. This result into a general analytic description of the uncertain model which may be easily used for building of an uncertain model based on a nominal and perturbed state-space model of any system. The obtained uncertain model respects the form for a robust controller design. The approach is presented on simple mass-damper-spring system.